Find m_ABD and mZCBD given m ABC = 77º. A (3x + 22) D 16 (5x - 17) B C mZ ABD |° and mZCBD​

Find M_ABD And MZCBD Given M ABC = 77. A (3x + 22) D 16 (5x - 17) B C MZ ABD | And MZCBD

Answers

Answer 1

Answer:

∠ ABD = 49°, ∠ CBD = 28°

Step-by-step explanation:

∠ ABD + ∠ CBD = ∠ ABC , substitute values

3x + 22 + 5x - 17 = 77 , that is

8x + 5 = 77 ( subtract 5 from both sides )

8x = 72 ( divide both sides by 8 )

x = 9

Thus

∠ ABD = 3x + 22 = 3(9) + 22 = 27 + 22 = 49°

∠ CBD = 5x - 17 = 5(9) - 17 = 45 - 17 = 28°


Related Questions

·A nutritionist recommends that an adult male consume 55 grams of per day. It is acceptable for the fat intake to differ from this amount by at most 25 grams. Write and solve an absolute-value inequality to find the range of fat intake that is acceptable. Graph the solutions.​

Answers

This is the answer I hope
It helps

what's
[tex]4 \times4 \times 4[/tex]
what's 4 * 4 ​

Answers

Answer:

4×4×4 = 64

4×4 = 16

Explanation : 4×4×4 could also be 4 to the third power .

Answer: The answer to this basic math question with the 2 given following basic math expressions are the following answers that have been provided to you:

[tex]4 * 4 * 4 = 64.[/tex] [tex]4 * 4 = 16.[/tex]

Step-by-step explanation: Mmmm, that was super extremely easy, so anyway, here is a basic step in order to evaluate the 2 given following basic math expressions:

[tex]4 * 4 * 4[/tex] could also be 4 to the third power. [tex]4 * 4[/tex] could also be 4 to the second power.

It means it's the exponent power.

I hope that my full given answer with my full given step-by-step explanation is very helpful to your own basic math question with the 2 given following basic math expressions, please mark me as Brainliest, take care, always be safe, and have a great holiday winter break, Merry Christmas and a happy new year! :D

Sincerely,

Jason Ta,

The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.

PLZ HELP I WILL GIVE BRAINLIEST . 15.24 • 10

Answers

Answer:

Step-by-step explanation:

the answer to this question is 49

Answer:

The answer is 152.4

Step-by-step explanation:

when multiplying a decimal by 10, you simply move the decimal to the right once.

so,

15.24*10= 152.4

hope this helps!!

I need help answering this question I dont get it at all. please someone help​

Answers

1)angle 2 and 3

2) angle 8

3)angle 6

2(x+6)=3(x+1)

Solving equations with variables on both sides. ;)

Answers

Step-by-step explanation:

2(x+6)=3(x+1)

2x+12=3x+3

collect the like terms

2x + 3x = 3+12

x=15/5=3

or

2x-3x = 3-12

= -9

Martin is building a model. He cuts two pieces of wood that are each 6 1/3 inches long from a board with a total length of 18 inches. What is the length, in inches, of the remaining part of the board?

Answers

Answer:5 1/3

Step-by-step explanation:

Solve for x in the following equation:
kx = m + nx

Answers

Answer:

x=[tex]\frac{m}{k-n}[/tex]

Step-by-step explanation:

First you subtract nx from both side getting kx-nx=m.

Then you factor out x getting x(k-n)=m

and now you divide both sides from (k-n) and you will get the answer.

ZB
Round your answer to the nearest hundredth.
А
5
B
4
C

Answers

Answer:

The answer is 36.87°

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of B

To find the value of B we use cosine

That's

cos∅ = adjacent / hypotenuse

From the question

adjacent = 4

hypotenuse = 5

We have

[tex] \cos(B) = \frac{4}{5} \\ B = { \cos }^{ - 1} ( \frac{4}{5}) \\ = 36.869897645...[/tex]

We have the final answer as

36.87° to the nearest hundredth

Hope this helps you

What is the greatest common factor of 24 and 6?

Answers

Answer:

6

Step-by-step explanation:

The factors of 6 are: 1, 2, 3, 6

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

Then the greatest common factor is 6.

Answer:

6

Step-by-step explanation:

A factor is a number that can be multiplied by another to get the given product. 6 is the largest number that is a factor of both 24 and 6.

6*4=24 and 1*6=6.

Algebra 1. 5(x + 6) – 2x = 3(x + 10)

Answers

Answer:

your answer is 3x+30=3x+30 so they are the same

Step-by-step explanation:

Please help!!! How many pages can be read in 45 minutes? Answer with a decimal point rounded to the nearest tenth if necessary.

Answers

Answer:

157.5 pages

Step-by-step explanation:

First, find your rate. You want to know how many pages you can read per minute. We can use any nuber, but using 2 minutes will be the simplest solution:

2m = 7

---      ---      <---- Here we divide both sides of the equal sign by 2

2        2

m = 3.5 <---- we read 3.5 pages per minute

45 x 3.5 = 157.5 (We multiplied 45 because it's the number of minutes we have, by the 3.5 pages we read each minute. This gives us our total of 157.5 pages in 45 minutes.

answer question showing work 4x − 7 ≥ 4

Answers

Answer:

x ≥ 11 /4 Hope this helped <3

Step-by-step explanation:

Let's solve your inequality step-by-step.

4x−7≥4

Step 1: Add 7 to both sides.

4x−7+7≥4+7

4x≥11

Step 2: Divide both sides by 4.

Write a system of equations that represents the given equation then find the two numbers

The sum or two numbers is 68. The difference is 12

Answers

Answer:

40 and 28

Step-by-step explanation:

We have two unknown numbers, so let's call them x and y for now.

We know the sum of the two numbers is 68, and the difference is 12, so let's substitute those two numbers for x and y:

x+y=68

and

x-y=12

Because both of these systems are true, we can take both these equations and combine them, by adding each side of one equation with the corresponding side of the other.

So we have:

(x+y)+(x-y)=(68)+(12)

2x=80

x=40

Now we know one of the numbers, x, is equal to 40, so now we can plug that number back into one of the two original equations, x+y=68 or x-y=12. I'll choose x-y=12.

After plugging in x, we get:

40-y=12

-y=-28

y=28

So now we have figured out x and y, which are 40 and 28.

HELP PLS, WILL GIVE BRAINLIEST Complete the equation so that it has infinitely many solutions.

1/3(3−z)

Answers

Answer:

1/3(3 - z) = 1 - 1/3z

Step-by-step explanation:

Given expression1/3(3 - z)To findComplete the equation to have infinitely many solutionsSolution

An equation has infinitely many solutions if the variable cancels and constants are same on left and right sides of the equation

Let the right side be an expression m, then

1/3(3 - z) = m1/3*3 - 1/3z = m1 - 1/3z = m

So we need same expression on the right side, the equation is:

1/3(3 - z) = 1 - 1/3z

the variables x and y are related proportionally. when x = 8,y= 18. find y when x =16

Answers

Answer:

When x=16 y=36 (16,36)

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

x= 8    16

y= 18   #

8/16=18/#

#= 16*18/8(property of proportions)= 36 :)

Find the missing value so that the line passing through the points has the given slope
(10,y) and (3,4) m= -2/7

Answers

Answer:

y = 2

Step-by-step explanation:

Using slope formula and solving for y

m = (y2 - y1)/(x2 - x1)

-2/7 = (4 - y)/(3 - 10)-2/7 = (4 - y)/-72 = 4 - yy = 4 - 2y = 2

Answer:

y = 2

Step-by-step explanation:

Using slope formula and solving for y

m = (y2 - y1)/(x2 - x1)

-2/7 = (4 - y)/(3 - 10)

-2/7 = (4 - y)/-7

2 = 4 - y

y = 4 - 2

y = 2

what value of x makes the following true? 2(x + 10) = 4( 2x - 1)

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]2(x+10)=4(2x-1)[/tex]

[tex]2x+20=4(2x-1)[/tex]

[tex]2x+20=8x-4[/tex]

[tex]-6x+20=-4[/tex]

[tex]-6x=-24[/tex]

[tex]x=4[/tex]

Keith needs to drive a total of 18 miles. So far, he has driven 9.4 miles. How many more miles must Keith drive?

Answers

Has to drive 8.6 miles

which of the following equations are linear?

y=2x - 1/2

y= -1/2x +2

y= -x^2

Answers

Answer:

y=2x-1/2

Step-by-step explanation:

that's the correct anwsers

Maxwell earns $17 per hour tutoring students after school. If Maxwell tutored for 8 hours this month, how much money did he earn this month?

Answers

Answer:

Just do 17 times 8

Step-by-step explanation:

You just need to go into yours phones calculator and put in 17 times 8

Answer: 136

Step-by-step explanation:

17*8=136

GIVING BRAINLIEST AND MORE

Answers

Quotient is the result of dividing two numbers

Inverse operations is the opposite operations that undo one another

Dividend is the number being divided

Divisor is the number of parts that the dividend is being dividend into.

Answer:

# 1: Inverse Operations

# 2: Dividend

# 3: Divisor

# 4: Quotient

Compare 6 ⋅ 10^8 to 3 ⋅ 10^6.


6 ⋅ 10^8 is 2,000 times larger than 3 ⋅ 10^6.


6 ⋅ 10^8 is 200 times larger than 3 ⋅ 10^6.


6 ⋅ 10^8 is 20 times larger than 3 ⋅ 10^6.


6 ⋅ 10^8 is 2 times larger than 3 ⋅ 10^6.

Answers

Answer:

20, 2

Step-by-step explanation:  6•10^8 is 20 times larger than 3•10^6. 6•10^8 is 2 times larger than 3•10^6.

Answer:

6 ⋅ 10^8 is 200 times larger than 3 ⋅ 10^6.

Step-by-step explanation:

I honestly have no explanation.

The sum of one and three fifths of a number is at most 42.(i need help with this)

Answers

Answer:

Step-by-step explanation:

Let x=smaller number

Then x+5=larger number

Now we are told the following:

1/5(x+x+5)=x-5 multiply each side by 5

x+x+5=5x-25 subtract 5x and also 5 from both sides

x+x+5-5-5x=5x-5x-25-5 collect like terms

-3x=-30 divide both sides by -3

x=10-----------------------smaller number

x+5=10+5=15 ---------larger number

CK

1/5(10+15)=10-5

1/5(25)=10-5

5=5

What part of an equation represents the constant rate of change?

Answers

Answer:

equation written in the form Ax + By = C where A and B are coefficients and C is the constant. assigns each input value, one output value. rate that describes how one quantity changes in relation to another quantity. rate of change between any two quantities is the same, or constant.

Step-by-step explanation:

The Slope of the equation represents the constant rate of change.

For example: in the equation [tex]y=3x+9[/tex]      [tex]3[/tex] is the slope

Math Questions please help

Answers

Answer:

do you solve for y or x or anything on these if so, i can do them. i just need them in chat

Step-by-step explanation:

Help needed ASAP will give brainliest and 5 star RATE

Answers

The last one number of atoms.

An inchworm is crawling up a tree. It begins 18 inches above the ground and climbs up 3 inches every minute. Let t represent the number of minutes since the worm began climbing. Veronica wants to know when the inchworm will be more than 60 inches above the ground. Which inequality should she use?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Starting point = 18 inches

Rate or speed = 3 inch per minute

t = number of minutes since climbing began

When will worm be more than 60 inches above the ground.

Height (t) = starting point + (rate * time)

18 + 3t > 60

3t > 60 - 18

3t > 42

t > 42/3

t > 14

Hence, inequality to use is : 60 > 18 + 3t

Help please! I have to do this math test and I dont understand ​

Answers

Answer:

y=1x+1

Step-by-step explanation:

y=1x+1 gradient= 1 and y-intersept = 1

A rectangle has dimensions of 1 and 6


Another rectangle was drawn from it using a scale factor of 1.5.What are the side lengths of this image?

b.Another rectangle has an area nine times bigger than the original (the 1x6).What is the scale factor?

Thank you!!!!

Answers

Answer:

a. 1.5 and 9

b. 3

You have $1.55 worth of dimes and nickels in a jar. There are 23 coins in the jar. How many dimes do you have? How many nickels do you have

Answers

i believe the answer is 35 dimes and 65 nickels (sorry if i’m wrong lol)

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